Area of a locus.
Source:
November 27, 2005
geometryanalytic geometryPythagorean Theoremvirat kohliind 21rmo 2014 P6
Problem Statement
A square has sides of length . Set is the set of all line segments that have length and whose endpoints are on adjacent sides of the square. The midpoints of the line segments in set enclose a region whose area to the nearest hundredth is . Find .